Large Language Models and Applications

A special issue of AppliedMath (ISSN 2673-9909). This special issue belongs to the section "Probabilistic & Statistical Mathematics".

Deadline for manuscript submissions: 30 July 2026 | Viewed by 899

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Faculty of Engineering, University of Kragujevac, 34000 Kragujevac, Serbia
Interests: artificial intelligence; various AI applications; cybersecurity; communication systems; software modeling; design and development

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Faculty of Diplomacy and Security, University Union—Nikola Tesla, Belgrade, Serbia
Interests: information technology
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Department for Industrial Engineering, Faculty of Engineering, University of Kragujevac, Sestre Janjić 6, 34000 Kragujevac, Serbia
Interests: industrial engineering; operational research; engineering management; reliability engineering; FMEA
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Special Issue Information

Dear Colleagues,

We are pleased to invite you to submit your research to be considered for publication in a Special Issue of AppliedMath, focused on the latest advances in Large Language Models (LLMs) and their applications. The goal of this Special Issue is to showcase state-of-the-art research in this fast-evolving field and to provide a platform for researchers and practitioners to share their most promising findings.

Large Language Models (LLMs) have become a transformative force in artificial intelligence and data-driven technologies. They enable breakthroughs in natural language processing, knowledge representation, reasoning, and human–machine interaction. From scientific research to real-world engineering applications, LLMs are being integrated into domains such as healthcare, education, finance, cybersecurity, and smart cities, where their potential to revolutionize decision making and problem solving is profound.

In this Special Issue, we invite and welcome reviews and original research papers addressing both the theoretical foundations and practical implementations of LLMs. Topics of interest include, but are not limited to, the following: novel architectures, efficient training and inference techniques, domain-specific adaptations, multimodal integration, evaluation methods, ethical and trustworthy AI, and innovative real-world applications of LLMs in science, industry, and society.

Dr. Milan Čabarkapa
Prof. Dr. Dragan Ranđelović
Dr. Nikola Komatina
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 250 words) can be sent to the Editorial Office for assessment.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. AppliedMath is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1200 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • large language models (LLMs)
  • generative AI
  • natural language processing (NLP)
  • transformer architectures
  • pre-trained models
  • fine-tuning and adaptation
  • multimodal models
  • prompt engineering
  • retrieval-augmented generation (RAG)
  • knowledge representation
  • human–AI interaction
  • explainable AI (XAI)
  • ethical and trustworthy AI
  • bias and fairness in AI
  • scalable training and inference
  • federated and distributed learning
  • domain-specific applications
  • healthcare AI
  • financial AI
  • education technology
  • cybersecurity applications
  • smart cities and IoT integration
  • robotics and autonomous systems
  • evaluation benchmarks and metrics
  • real-world deployments

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Published Papers (1 paper)

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Research

17 pages, 329 KB  
Article
The New Polynomial Single Parameter Distribution: Properties, Bayesian and Non-Bayesian Inference with Real-Data Applications
by Meriem Keddali, Hamida Talhi, Mohammed Amine Meraou and Ali Slimani
AppliedMath 2026, 6(4), 60; https://doi.org/10.3390/appliedmath6040060 - 10 Apr 2026
Viewed by 378
Abstract
A novel flexible single-parameter polynomial distribution is presented in this study. The forms of hazard rate and density functions are examined. Additionally, exact formulas for a number of numerical characteristics of distributions are obtained. Stochastic ordering, the moment technique, the maximum likelihood, and [...] Read more.
A novel flexible single-parameter polynomial distribution is presented in this study. The forms of hazard rate and density functions are examined. Additionally, exact formulas for a number of numerical characteristics of distributions are obtained. Stochastic ordering, the moment technique, the maximum likelihood, and a Bayesian analysis of this novel distribution based on type II censored data are used to derive the extreme order statistics. We construct Bayes estimators and the associated posterior risks using a variety of loss functions, such as the generalized quadratic, entropy, and Linex functions. Since tractable analytical formulations of these estimators are unattainable, we suggest using a simulation technique based on Markov chain Monte-Carlo (MCMC) to examine their performance. Furthermore, we construct maximum likelihood estimators given initial values for the model’s parameters. Additionally, we use integrated mean square error and Pitman’s proximity criteria to compare their performance with that of the Bayesian estimators. Lastly, we apply the new family to many real-world datasets to show its versatility, and we model cancer survival data using this new distribution to explain our methodology. Full article
(This article belongs to the Special Issue Large Language Models and Applications)
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